Length of a Chord in a Circle

In a circle with center O, a point A is located on the circumference. A line segment OA is extended such that it creates points B and C on the circle. If the angle AOB measures 120 degrees and the radius of the circle is 10 cm, calculate the length of the chord BC.

To find the length of a chord formed by an angle at the center, you can use the formula:

$$ BC = 2r imes \sin\left(\f\frac{\theta}{2}\right) $$

where $r$ is the radius and $\theta$ is the angle in degrees.